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Lyapunov fractal

Known as: Lyapunov, Markus-Lyapunov fractal 
In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map… Expand
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Related topics

Related topics

5 relations
AlgorithmBifurcation theoryFractalList of chaotic maps
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2019
Review
2019
On Model-Free Adaptive Control and Its Stability Analysis
In this paper, the main issues of model-based control methods are first reviewed, followed by the motivations and the state of… Expand
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Review
2019
Review
2019
Fuzzy Control Systems: Past, Present and Future
More than 40 years after fuzzy logic control appeared as an effective tool to deal with complex processes, the research on fuzzy… Expand
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Highly Cited
2006
Highly Cited
2006
Flocking for multi-agent dynamic systems: algorithms and theory
In this paper, we present a theoretical framework for design and analysis of distributed flocking algorithms. Two cases of… Expand
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Highly Cited
2004
Highly Cited
2004
Consensus problems in networks of agents with switching topology and time-delays
In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three… Expand
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Highly Cited
2001
Highly Cited
2001
Possible Selves
The concept of possible selves is introduced to complement current conceptions of self-knowledge. Possible selves represent… Expand
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Highly Cited
1998
Highly Cited
1998
Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions
The Nelder--Mead simplex algorithm, first published in 1965, is an enormously popular direct search method for multidimensional… Expand
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Highly Cited
1998
Highly Cited
1998
Rate control for communication networks: shadow prices, proportional fairness and stability
This paper analyses the stability and fairness of two classes of rate control algorithm for communication networks. The… Expand
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Highly Cited
1998
Highly Cited
1998
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
We introduce some analysis tools for switched and hybrid systems. We first present work on stability analysis. We introduce… Expand
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Highly Cited
1985
Highly Cited
1985
Fractal basin boundaries
Abstract Basin boundaries for dynamical systems can be either smooth or fractal. This paper investigates fractal basin boundaries… Expand
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Highly Cited
1985
Highly Cited
1985
Determining Lyapunov exponents from a time series
We present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series… Expand
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